[0001] The invention relates to a device comprising memory locations for the buffering of
data unit groups, presented during successive phases, for the duration of buffer periods
which are recurrent for each group.
[0002] An example of a device of this kind, forming part of a compact disc player comprising
encoders and decoders for error correction, is outlined in: "The Compact Disc Formats:
Technology and Applications", K. Pohlmann, J. Audio Eng. Soc., Vol. 36, No. 4, April
1988, pages 250-287. The encoders as well as the decoders are based on the "cross-interleaved
Reed-Solomon code"; to this end, each encoder and decoder comprises a so-called "interleaver"
having twenty-eight delay lines for delaying each time a corresponding number of data
units, each time for the duration of mutually different buffer periods.
[0003] Preferably, a device of this kind is constructed so as to have an as small as possible
memory. Furthermore, the addressing of the memory is preferably as simple as possible
in view of the computing capacity required for control of the device. Therefore, it
is inter alia an object of the invention to provide a device of the kind set forth
which offers efficient memory use and simple addressing.
[0004] To achieve this, a device in accordance with the invention is characterized in that
it comprises a modulo address generator for generating, for each group, a series of
addresses for the selection of the memory locations, respective logic address intervals
between successive addresses in the relevant series being indicative of the respective
buffer periods, the addresses in two successive series being shifted one address interval
unit with respect to one another. The invention utilises the mapping of buffer periods
onto address intervals in a current series of addresses in order to access selected
memory locations. The address interval between two addresses which are consecutive
within a series is indicative (for example, numerically equal to) of the buffer period
assigned to the data unit at the highest (or the lowest) address of the twosome.
[0005] It is to be noted that a data unit is to be understood to mean herein a data entity
(a bit, a byte, a record, a file, etc.) which is considered to form one unit at least
for the benefit of buffering. Successive series are shifted one address interval unit
with respect to one another. This implies that the same address of a twosome of addresses
selected during a previous series is selected again in a later series only if the
total shift has covered the original address interval. However, because the original
address interval is related to the relevant buffer period, said address has already
become available for new data after the relevant last read operation.
[0006] Using the above addressing, the write operations will concern exactly the memory
locations in which data groups from preceding phases have already completed their
buffer period. Therefore, the addresses generated by the address generator for the
writing of the current group of data units are preferably used as read addresses before
writing. It is advantageous to execute a read operation for each current address and
subsequently a write operation. The switching between reading and writing per address
is simpler and cheaper than the twice generating of a series of addresses for the
successive reading and subsequent successive writing of the selected locations. The
current addresses could alternatively be buffered in a separate memory, but that would
cost memory space.
[0007] An embodiment of a device in accordance with the invention is characterized in that
each respective buffer period amounts to a respective first number of successive phases,
the address interval associated with the respective buffer period amounting to a respective
second number of address interval units, the first number being equal to the second
number. The address intervals are then as small as possible, so that the number of
memory locations required is minimum. This number is equal to the sum of the buffer
periods which are assigned to each group and which are expressed as the relevant number
of phases.
[0008] A larger memory can be used in order to choose the address intervals within a series
to be larger than the shortest possible address intervals as described above. Therefore,
another embodiment of a device in accordance with the invention is characterized in
that each respective buffer period amounts to a respective first number of successive
phases, the address interval associated with the respective buffer period amounting
to a respective second number of address interval units, the second number being equal
to the sum of the respective first number and a respective offset. Even though this
results in a less dense occupation of the memory, for one memory location at the most
one read operation or one write operation need then be executed per phase, thus simplifying
the control. Preferably, the number of memory locations used is chosen to be equal
to an integer power of two, because digital circuits operate better on binary numbers,
for example in respect of the modulo operation, than numbers represented on a basis
other than two.
[0009] It is to be noted that the device can be used not only as an interleaver or de-interleaver
in a CD player, but also for parallel and cyclical data processing operations. In
the latter case parallel streams of successive data are transformed so as to form
new streams of successive data. Before the data of the new streams is processed again,
data from different streams need be delayed with respect to one another in order to
ensure that this data can be correctly combined at the correct instant.
FIGURES
[0010] The invention will be described in detail hereinafter with reference to a drawing;
therein:
Fig. 1 shows a first example of a data occupation in a memory realised via a device
in accordance with the invention;
Fig. 2 shows a second example of a data occupation;
Fig. 3 shows a third example of a data occupation;
Fig. 4 shows a first embodiment of an address generator for use in a device in accordance
with the invention;
Fig. 5 shows a second embodiment of an address generator;
Fig. 6 shows a third embodiment of such an address generator; and
Fig. 7 shows the formulae in support of the description of the address generator shown
in Fig. 6.
FIRST EXAMPLE OF A DATA OCCUPATION.
[0011] Fig. 1 shows a first example of a data occupation obtained by means of a device in
accordance with the invention. The addresses m1 to m10 of ten memory locations are
plotted in the horizontal direction. The successive phases f0, f1, f2, ..., f6, ...
in which the respective current data is written after the relevant, already stored
data has been read for the last time are plotted in the vertical direction. In phase
f0 there is written the data denoted by 1, 2, 3, and 4 whereto there is assigned a
buffer period equal to one phase, two phases, three phases and four phases, respectively.
Consequently, each of this data will be stored in the memory for the duration of the
relevant buffer period. The occupation during the phase f0 is chosen as follows. Data
unit 1 is written at the address m1. Data unit 2, being buffered for the buffer period
of two phases, is written at an address which is situated at an address interval equal
to two address interval units from the preceding address m1. This number of address
interval units equals the number of buffer period phases assigned to the data unit
2. Thus, the relevant address is the address m3. Data unit m3 will be buffered for
three phases, so that it is written at a next address m6 which is situated at three
address interval units from the preceding address m3. Data unit 4 will be buffered
for four phases and hence will be written at the address m10 which deviates from the
address m6 by four address interval units. The total number of memory locations equals
the sum of the buffer periods assigned per phase, that is to say ten.
[0012] During the phase f1 there are written new data units 1′, 2′, 3′ and 4′ which are
buffered for the duration of one, two, three and four phases, respectively. Each of
the addresses of the memory locations in which the new data units are written has
been shifted one address interval unit with respect to the address at which the data
unit having the same buffer period has been written during the preceding phase. The
data units 1′, 2′, 3′ and 4′ are written at the addresses m2, m4, m7 and m1. The data
unit 4′ is thus written in the location in which the data unit 1 has just been read.
[0013] During the phase f2 data units 1˝, 2˝, 3˝ and 4˝ are written, buffer periods of one,
two, three and four phases, respectively, being assigned thereto. The write addresses
have again been shifted one address interval unit with respect to the write addresses
of the preceding group of data units. Thus, the data unit 1˝ is written in the location
having the address m3 where the data unit 2 has just been read for the last time.
The data units 2˝ and 3˝ are written at the addresses m5 and m8. The data unit 4˝
is written at the address m2 where the data unit 1′ has just been read.
[0014] During the phase f3 data units 1‴, 2‴, 3‴ and 4‴ are written at the addresses m4,
m6, m9 and m3. The data units 1‴, 2‴, 3‴ and 4‴ are written in the memory locations
which have just been vacated because the buffer period of the relevant previous data
units has elapsed. The drawing also shows the new data units of subsequent phases
f4, f5 and f6. Because the numbers of address interval units between the addresses
of a current group of data units equal the relevant numbers of buffer period phases,
the successive groups can be interleaved in the manner shown. Consequently, a dense
memory occupation is realised with systematic, simple addressing.
SECOND EXAMPLE OF A DATA OCCUPATION.
[0015] Fig. 2 shows a second example of a data occupation in a memory which comprises more
locations than strictly necessary. The notation used corresponds to that of Fig. 1.
The present memory comprises sixteen memory locations having the addresses m1 to m16.
After a data unit has reached the last address, in this case the data unit 4
(6) in phase f6, the corresponding data unit, in this case 4
(7), of the next group, phase f7, is placed at the first address m1 again according to
the modulo-16 address generator. Even though the occupation is not optimum in view
of the capacity of the memory, it offers the advantage that the addressing is simple
when the number of locations used is a power of two. In digital circuits it is easier
to utilise powers of two than other numbers.
THIRD EXAMPLE OF A DATA OCCUPATION.
[0016] Fig. 3 shows a third example of a data occupation in a memory which comprises a number
of memory locations which is larger than strictly necessary. The notation used again
corresponds to that of the preceding Figures. Each of the address intervals is numerically
equal to the relevant buffer periods plus a constant offset which is in this case
equal to one address interval unit for all buffer periods. The address interval between
two current, successive addresses (for example, the addresses m6 and m10 in the phase
f2) is now larger than the associated buffer period (amounting to three phases for
the data unit 3˝ in the present example). Consequently, a dummy phase occurs between
the reading of an address for the last time and the writing at the same address (the
phase f5 is a dummy phase for the memory location m10). This creates the possibility
of distributing read operations and write operations relating to one and the same
memory location between phases so that, for example simpler or slower control can
suffice. In the preceding Figures the lengths of the buffer periods hav been chosen
to be consecutive merely by way of example. It will be evident that similar occupations
of the memory can be realised by making a different choice as regards the buffer periods.
Moreover, the offsets associated with each of the addresses in Fig. 3 are chosen to
be mutually equal by way of example. The user is free to choose mutually different
offsets. The off-sets could be chosen, for example so that either only the even or
only the odd addresses are concerned in each phase of a write operation or a read
operation. When a sub-group of the addresses having a predetermined property (for
example, even/odd) is accessed in each phase, the memory can be constructed, for example
so as to be simpler, smaller or faster, for example, a sense amplifier is provided
for an odd and an even column in an integrated memory circuit. Similarly, the offsets
can be used to control the spread in the occupation of the memory locations.
FIRST EMBODIMENT OF AN ADDRESS GENERATOR.
[0017] Fig. 4 shows a first embodiment of an address generator which is suitable for use
in a device in accordance with the invention and which comprises N memory locations.
For each phase the address generator 30 selects the memory addresses for the memory
locations 36 with intervals which are indicative of the relevant buffer periods. The
address sequences generated for two successive phases deviate from one another by
one address interval unit. The address intervals in a sequence are determined by the
interval generator 40. The interval generator 40 comprises a memory 42, for example
a ROM, having addresses, to be referred to hereinafter as ROM-addresses, for storing
thereat the addresses for selected memory locations 36, to be referred to hereinafter
as RAM-addresses, for generating a RAM address reference series. Using a selection
circuit 44, the ROM addresses are successively accessed. To this end, the selection
circuit 44 comprises, for example a register 46 which cyclically accesses the ROM
addresses via an incrementation unit 48. The output of the interval generator 40 is
coupled to an input of a modulo-N adder 50. The other input of the modulo-N adder
50 is coupled to the output of a jump generator 52 which calculates, for each subsequent
series, the shift over one address interval unit and which performs a modulo calculation
of the number of memory locations used. To this end, the jump generator 52 comprises,
for example a register 54, an output of which is retro-coupled via an incrementation
unit 56. Thus, for each phase there is generated a step value which is added to the
address values from the ROM 42 in the modulo-N adder 50. The reference value is calculated
modulo-N. Thus, a current RAM address series is generated by means of the reference
series and the step value.
SECOND EMBODIMENT OF AN ADDRESS GENERATOR.
[0018] Fig. 5 shows a second embodiment of an address generator which is suitable for use
in a device in accordance with the invention which comprises N memory locations. The
address generator comprises a memory 60, for example a ROM, in which the RAM addresses
of a reference series for the N memory locations 62 are stored at successive ROM addresses.
The address generator also comprises a programmable modulo-N adder 64 which is used
for the calculation of the ROM addresses, the RAM addresses and the step value of
subsequent RAM address series with respect to the reference series, analogously to
the calculation performed in the address generator described with reference to Fig.
4. The advantages of this known circuit consist in the saving of chip surface area
in an implementation in the form of an integrated circuit, because the same circuit
is used for several operations. The programmable modulo-N adder 64 is coupled to three
register 66, 68 and 70 at the input side. Under the control of a first control signal
on a control bus 72, a first increment is added to the contents of the register 70,
said sum being buffered again in the register 70. The contents represent the current
step value as discussed with reference to Fig. 4. Under the control of a second control
signal on the control bus 72, the adder 64 adds a second increment to the contents
of the register 66. This sum represents the current ROM address for accessing the
ROM 60 in which the reference series is stored as previously described with reference
to Fig. 4. When the ROM 60 is accessed by way of the relevant sum, acting as the ROM
address, the contents of this ROM address are loaded into the register 68. Under the
control of a third control signal on the control bus 72, the contents of the register
68 (being the reference address) and the contents of the register 70 (being the current
step value) are summed. The result represents a current RAM address for selecting
one of the memory locations of the memory 62.
THIRD EMBODIMENT OF AN ADDRESS GENERATOR.
[0019] Fig. 6 shows a third embodiment of an address generator suitable for a device in
accordance with the invention. The address generator is constructed as a cascade of
adders. A cascade comprising two stages 90 and 92 is shown. For the reference series
the relevant addresses for the memory locations of the RAM 94 are stored in a separate
ROM memory in the previous embodiments. In the present embodiment all RAM addresses
are calculated by the address generator. The first stage 90 comprises a register 94
whose output is coupled to the input via an adder circuit 96. The adder circuit adds
a first constant c₁ to the preceding register contents and delivers this sum as the
new register contents. The second stage 92 comprises a register 98 which is retrocoupled
via an adder circuit 100. The adder circuit 100 adds the current register contents
of the register 94 plus a second constant c₂ to the preceding register contents of
the register 98. The new contents of the register 98 then represent an address for
selection of the memory locations 102.
FORMULAE FOR EXPLAINING THE ADDRESS GENERATOR SHOWN IN FIG. 6.
[0020] The operation of the embodiment shown in Fig. 6 will be illustrated on the basis
of the formules given in Fig. 7. Formule (i) represents the recursive relation applicable
to the output quantity a
k of the stage 90 for the k
th iteration. Formule (ii) represents the output quantity b
k of the stage 92, again for the k
th iteration. It can be simply demonstrated that the formule (iii) represents the output
quantity a
k, expressed in the number of iterations k,the starting quantity a₀ in the register
94, and the first constant c₁. By forming the difference between two partial sums
in relation to b
k, as in the formule (iv), a simple expression (v) can also be derived for the output
quantity b
k in dependence on the number of iterations k, the starting quantities a₀ and b₀ for
the registers 94 and 98, and the constants c₁ and c₂.
[0021] Depending on the values of the parameters a₀, b₀, c₁ and c₂, an arbitrary second-degree
function of k can be created. By extending the cascade with stages such as the stage
92, higher-degree functions of k can be realised.
[0022] It can be simply demonstrated that the addresses for the starting series in the phase
f₀ in the diagram of Fig. 3 can be generated by choosing: a₀=0, b₀=1, c₁=1 and c₂=2.
By resetting the contents of the register 94 to 0 and the contents of the register
98 to b₀+1 at the end of each phase, and by also performing a modulo-N operation for
determining b
k, the next desired memory addresses can be generated for RAM 102. A further possibility
would be the resetting of the contents of the registers 94 and 98 to a₀ and b₀, respectively,
at the end of each phase and the addition of a number 1 to the result b
k in a modulo-N counter.
1. A device comprising memory locations for the buffering of data unit groups presented
during successive phases, for the duration of buffer periods which are recurrent for
each group, characterized in that the device comprises a modulo address generator
for generating, for each group, a series of addresses for the selection of the memory
locations, respective logic address intervals between successive addresses in the
relevant series being indicative of the respective buffer periods, the addresses in
two successive series being shifted one address interval unit with respect to one
another.
2. A device as claimed in Claim 1, characterized in that on the basis of a current
address first a read operation can be performed, followed by a write operation.
3. A device as claimed in Claim 1, characterized in that each respective buffer period
amounts to a respective first number of successive phases, the address interval associated
with the respective buffer period amounting to a respective second number of address
interval units, the first number being equal to the second number.
4. A device as claimed in Claim 1, characterized in that each respective buffer period
amounts to a respective first number of successive phases, the address interval associated
with the respective buffer period amounting to a respective second number of address
interval units, the second number being equal to the sum of the respective first number
and a respective offset.
5. A device as claimed in Claim 1, 3 or 4, characterized in that a further number
of memory locations for buffering the groups of data units equals an integer power
of two.
6. A device as claimed in Claim 1 or 5, characterized in that the address generator
comprises:
- a reference address generator for generating a cyclical series of reference addresses;
- an incrementation unit for delivering, for each subsequent series, a step value
incremented by one unity step;
- an adder for adding a current reference address and a current step value and for
delivering a current address.
7. A device as claimed in Claim 1 or 5, characterized in that the address generator
comprises:
- a first incrementation unit for generating a first current number by summing a preceding
first number and a first constant;
- at least one second incrementation unit for generating a second current number by
summing each time a preceding second number, a current first number, and a second
constant.
8. A device as claimed in Claim 1 or 5, characterized in that the address generator
comprises:
- a reference memory for storing a series of reference addresses;
- a first register and a second register;
- a programmable adder for executing the following operations:
. adding, under the control of a first signal, a first increment to a contents of
the first register and thereupon buffering a resultant first sum in the first register;
. adding, under the control of a second signal, a second increment to a contents of
the second register and thereupon buffering a resultant second sum in the second register;
. fetching, under the control of a third signal, a reference contents from a location
of the reference memory, indicated by the current contents of the second register,
and subsequently adding the current reference contents to the current contents of
the first register in order to generate a current address.
9. A CD player comprising a device as claimed in any one of the preceding Claims.